961398048 has 96 divisors (see below), whose sum is σ = 2738123136. Its totient is φ = 293603328.

The previous prime is 961398037. The next prime is 961398049. The reversal of 961398048 is 840893169.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 961397988 and 961398006.

It is not an unprimeable number, because it can be changed into a prime (961398049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168165 + ... + 173787.

It is an arithmetic number, because the mean of its divisors is an integer number (28522116).

Almost surely, 2^961398048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961398048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369061568).

961398048 is an abundant number, since it is smaller than the sum of its proper divisors (1776725088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961398048 is a wasteful number, since it uses less digits than its factorization.

961398048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 961398048 is about 31006.4194643625. The cubic root of 961398048 is about 986.9634700785.

The spelling of 961398048 in words is "nine hundred sixty-one million, three hundred ninety-eight thousand, forty-eight".